The family of swirls appears in Oxley, p. 664. The rank-r free swirl has 2r elements and rank r.
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The object swirl is a method function.
The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Matroids/doc-Matroids.m2:3284:0.